You can execute arbitrary strings of JavaScript using eval(), but that is not the best solution for you here (it's almost never the best solution).
Functions in JavaScript are themselves objects which means you can store multiple references to the same function in multiple variables, or pass function references as parameters, etc. So:
var thecall = function() {
alert("hi, this works");
};
function myfunction(someFunc) {
someFunc(); // call the function that was passed
}
myfunction(thecall); // pass reference to thecall
Note that when passing the reference to the thecall function there are no parentheses, i.e., you say thecall not thecall(): if you said myfunction(thecall()) that would immediately call thecall and pass whatever it returned to myfunction. Without the parentheses it passes a reference to thecall that can then be executed from within myfunction.
In your case where you are talking about a list of menu items where each item should call a particular function you can do something like this:
var menuItems = [];
function addMenuItem(menuText, menuFunction) {
menuItems.push({ "menuText" : menuText, "menuFunction" : menuFunction });
}
function test1() {
// do something
}
addMenuItem("Test 1", test1);
addMenuItem("Test 2", function() { alert("Menu 2"); });
// and to actually call the function associated with a menu item:
menuItems[1].menuFunction();
Notice the second menu item I'm adding has an anonymous function defined right at the point where it is passed as a parameter to addMenuItem().
(Obviously this is an oversimplified example, but I hope you can see how it would work for your real requirement.)